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101227837107365 = 5415361152735641
BaseRepresentation
bin10111000001000011110001…
…010001011010110010100101
3111021102021202000110012201122
4113001003301101122302211
5101232004102244413430
6555143232033103325
730215320112304563
oct2701036121326245
9437367660405648
10101227837107365
112a288537052021
12b42a7719b7b45
1344639899873c7
141add64c406a33
15ba827d296ee5
hex5c10f145aca5

101227837107365 has 32 divisors (see below), whose sum is σ = 128862450212832. Its totient is φ = 76245631488000.

The previous prime is 101227837107337. The next prime is 101227837107389. The reversal of 101227837107365 is 563701738722101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 61889075375521 + 39338761731844 = 7866961^2 + 6272062^2 .

It is not a de Polignac number, because 101227837107365 - 28 = 101227837107109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75705056 + ... + 77030585.

It is an arithmetic number, because the mean of its divisors is an integer number (4026951569151).

Almost surely, 2101227837107365 is an apocalyptic number.

It is an amenable number.

101227837107365 is a deficient number, since it is larger than the sum of its proper divisors (27634613105467).

101227837107365 is a wasteful number, since it uses less digits than its factorization.

101227837107365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152735801.

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 101227837107365 in words is "one hundred one trillion, two hundred twenty-seven billion, eight hundred thirty-seven million, one hundred seven thousand, three hundred sixty-five".

Divisors: 1 5 41 53 61 205 265 305 2173 2501 3233 10865 12505 16165 132553 662765 152735641 763678205 6262161281 8094988973 9316874101 31310806405 40474944865 46584370505 331894547893 381991838141 493794327353 1659472739465 1909959190705 2468971636765 20245567421473 101227837107365